2225053267200 has 324 divisors, whose sum is σ = 8300945059680. Its totient is φ = 567549480960.

The previous prime is 2225053267163. The next prime is 2225053267207. The reversal of 2225053267200 is 27623505222.

2225053267200 is a `hidden beast` number, since 2 + 2 + 2 + 50 + 532 + 6 + 72 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225053267207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 485031 + ... + 2164569.

Almost surely, 2^{2225053267200} is an apocalyptic number.

2225053267200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225053267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150472529840).

2225053267200 is an abundant number, since it is smaller than the sum of its proper divisors (6075891792480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2225053267200 is a wasteful number, since it uses less digits than its factorization.

2225053267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679594 (or 1679572 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 2225053267200 in words is "two trillion, two hundred twenty-five billion, fifty-three million, two hundred sixty-seven thousand, two hundred".